On rough maximal operators and Marcinkiewicz integrals along submanifolds

被引：14
|
作者：
Al-Qassem, H. M. [1 ]
Pan, Y. [2 ]
机构：
[1] Qatar Univ, Dept Math & Phys, Doha, Qatar
[2] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA
来源：
STUDIA MATHEMATICA | 2009年 / 190卷 / 01期
关键词：
Marcinkiewicz integrals; maximal operators; L-p boundedness; rough kernel; SINGULAR-INTEGRALS; KERNELS; SPACES; BOUNDEDNESS; NORM; LP;
D O I：
10.4064/sm190-1-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the LP boundedness for a class of parametric Marcinkiewicz integral operators associated to submanifolds and a class of related maximal operators under the L(log L)(alpha)(Sn-1) condition on the kernel functions. Our results improve and extend some known results.
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页码：73 / 98
页数：26
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